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Finding the Third Proportional to 24,174 and 52,380

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Solution

The third proportional to 24,174 and 52,380 is: 113,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174 : 52,380 = 52,380 : x
  2. Step 2: Convert to fraction form
    24,174/52,380 = 52,380/x
  3. Step 3: Cross multiply
    24,174x = 52,380 × 52,380
  4. Step 4: Simplify right side
    24,174x = 2,743,664,400
  5. Step 5: Solve for x
    x = 2,743,664,400/24,174
  6. Step 6: Final answer
    x = 113,496.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.